Magma V2.19-8 Tue Aug 20 2013 16:14:14 on localhost [Seed = 3035965593] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s211 geometric_solution 4.35005135 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.668655411807 0.264167806213 0 2 2 0 3201 0132 1023 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 1 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.214902015708 0.689263685108 3 1 1 4 0132 0132 1023 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.314818467720 0.309079696474 2 4 5 4 0132 2310 0132 3201 0 0 0 0 0 1 0 -1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.248070944520 1.223568058014 5 3 2 3 1023 2310 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.248070944520 1.223568058014 5 4 5 3 2310 1023 3201 0132 0 0 0 0 0 0 0 0 1 0 0 -1 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 -1 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.159156753266 0.785013818888 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0011_1']), 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : negation(d['c_0011_1']), 'c_0101_5' : negation(d['c_0101_3']), 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_4'], 'c_0011_4' : d['c_0011_4'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_1'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : d['c_0101_2'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_2'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_4, c_0101_0, c_0101_2, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 4722547382/466658251*c_0101_3^10 - 10865941544/466658251*c_0101_3^9 + 204859978735/466658251*c_0101_3^8 - 702422646124/466658251*c_0101_3^7 + 681408868715/466658251*c_0101_3^6 + 255439431627/466658251*c_0101_3^5 - 818301387073/466658251*c_0101_3^4 + 750265043582/466658251*c_0101_3^3 - 353275064372/466658251*c_0101_3^2 + 86520515883/466658251*c_0101_3 - 19161176697/466658251, c_0011_0 - 1, c_0011_1 + 663730734/466658251*c_0101_3^10 + 1641006824/466658251*c_0101_3^9 - 28461473435/466658251*c_0101_3^8 + 93991333913/466658251*c_0101_3^7 - 81648755377/466658251*c_0101_3^6 - 44149714788/466658251*c_0101_3^5 + 104495822225/466658251*c_0101_3^4 - 91345256333/466658251*c_0101_3^3 + 38605582167/466658251*c_0101_3^2 - 9967235889/466658251*c_0101_3 + 1531516106/466658251, c_0011_4 + 344095629/466658251*c_0101_3^10 + 844355330/466658251*c_0101_3^9 - 14732071721/466658251*c_0101_3^8 + 49112773074/466658251*c_0101_3^7 - 44863482326/466658251*c_0101_3^6 - 17237059707/466658251*c_0101_3^5 + 51975448464/466658251*c_0101_3^4 - 52900194670/466658251*c_0101_3^3 + 25943896180/466658251*c_0101_3^2 - 8035351060/466658251*c_0101_3 + 1295422314/466658251, c_0101_0 - 730390440/466658251*c_0101_3^10 - 1543364341/466658251*c_0101_3^9 + 31985229902/466658251*c_0101_3^8 - 114652021125/466658251*c_0101_3^7 + 126308163764/466658251*c_0101_3^6 + 19006002486/466658251*c_0101_3^5 - 136120832174/466658251*c_0101_3^4 + 143008633298/466658251*c_0101_3^3 - 75160367735/466658251*c_0101_3^2 + 21463575529/466658251*c_0101_3 - 3088968165/466658251, c_0101_2 - 137594060/466658251*c_0101_3^10 - 261099566/466658251*c_0101_3^9 + 6115034239/466658251*c_0101_3^8 - 22822209887/466658251*c_0101_3^7 + 27315101320/466658251*c_0101_3^6 + 1894215046/466658251*c_0101_3^5 - 28565594461/466658251*c_0101_3^4 + 29883283504/466658251*c_0101_3^3 - 16937833101/466658251*c_0101_3^2 + 4608026497/466658251*c_0101_3 - 653896728/466658251, c_0101_3^11 + 2*c_0101_3^10 - 44*c_0101_3^9 + 162*c_0101_3^8 - 192*c_0101_3^7 - 2*c_0101_3^6 + 185*c_0101_3^5 - 218*c_0101_3^4 + 130*c_0101_3^3 - 46*c_0101_3^2 + 10*c_0101_3 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB